However, we know that's not true through real-world observation, and that's why convexity is important. Bond duration is an easy, back-of-the-napkin way to estimate risk, but convexity is vital to truly understand what you're getting into with any bond purchase you don't intend to hold to maturity.
Positive and negative convexity
There are two kinds of bond convexity that are possible: positive and negative. Positive convexity happens when the duration of the bond rises with a declining interest rate, meaning that an existing bond is worth more as current interest rates decline. That's kind of an obvious one, but there's a lot of accounting language that makes it tricky to decipher.
Negative convexity works the other way, and existing bonds on the secondary bond market are worth more as current interest rates rise.
A few examples of bonds that tend to exhibit positive convexity include non-callable bonds or those with make-whole calls. Bonds that tend to exhibit negative convexity include bonds with traditional calls, preferred bonds, and mortgage-backed securities.
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